10121222212101 has 216 divisors, whose sum is σ = 20632350102624. Its totient is φ = 4722148005120.

The previous prime is 10121222212051. The next prime is 10121222212117.

10121222212101 is a `hidden beast` number, since 10 + 121 + 222 + 212 + 101 = 666.

10121222212101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10121222212101 - 2⁹ = 10121222211589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121222212501) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 30166470 + ... + 30500136.

It is an arithmetic number, because the mean of its divisors is an integer number (95520139364).

Almost surely, 2^{10121222212101} is an apocalyptic number.

10121222212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121222212101 is an abundant number, since it is smaller than the sum of its proper divisors (10511127890523).

10121222212101 is a wasteful number, since it uses less digits than its factorization.

10121222212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333761 (or 333738 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1012122 and 2212101, that added together give a palindrome (3224223).

The spelling of 10121222212101 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred one".